Scaling properties of the Fermi-Ulam accelerator model

The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed...

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Bibliographic Details
Published inBrazilian journal of physics Vol. 36; no. 3a; pp. 700 - 707
Main Authors Silva, Jafferson Kamphorst Leal da, Ladeira, Denis Gouvêa, Leonel, Edson D., McClintock, P. V. E., Kamphorst, Sylvie O.
Format Journal Article
LanguageEnglish
Portuguese
Published Sociedade Brasileira de Física 01.09.2006
Subjects
PHYSICS, MULTIDISCIPLINARY
Chaos
Scaling
Lyapunov Exponent
Fermi Model
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Summary:The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the moving wall, they can be described by scaling functions with the same characteristic exponents. New numerical results for the complete model are presented. The chaotic sea is also characterized by its Lyapunov exponents.
ISSN:0103-9733
1678-4448
DOI:10.1590/S0103-97332006000500022